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单词 Ordered group
释义

Ordered group

原声例句
VOA Special 2019年3月合集

He said he acted alone and that no group ordered the attacks.

他声称自己是单独行动的,没有接受任何组织下令。

VOA Special 2021年1月合集

Francis has ordered a group of experts to study whether women could be named deacons.

方济各已下令一组专家研究是否可以任命女性担任执事。

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China's government has ordered all tour groups to be suspended until the virus is contained.

中国政府已下令,在疫情得到控之前暂停所有团队游。

当月 VOA Daily Standard English

" ... can only happen with explicit prior direct agreement from Iran, but this is very different from saying that Iran ordered these groups to do these attacks."

“… 只有在伊朗事先明确直接同意的情况下才能发生,但性质与伊朗对这些组织下令进行袭击是非常不同的。”

中文百科

有序交换群 Partially ordered group

(重定向自Ordered group)

有序交换群系指一对 (\Gamma, >),其中 \Gamma 为交换群,> 为其上的一个二元关系,且满足如下条件:

另一种等价的描述是:给定一个子集 \Gamma_+  \subset \Gamma,使得 \Gamma_+ 对加法封闭,且  \Gamma = \Gamma_+ \cup \{ 0 \} \cup -\Gamma_+

英语百科

Partially ordered group 有序交换群

(重定向自Ordered group)

In abstract algebra, a partially ordered group is a group (G,+) equipped with a partial order "≤" that is translation-invariant; in other words, "≤" has the property that, for all a, b, and g in G, if ab then a+gb+g and g+ag+b.

An element x of G is called positive element if 0 ≤ x. The set of elements 0 ≤ x is often denoted with G, and it is called the positive cone of G. So we have ab if and only if -a+bG.

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更新时间:2025/6/18 18:49:31